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Simulating the performance of a distance-3 surface code in a linear ion trap

Publication ,  Journal Article
Trout, CJ; Li, M; Gutiérrez, M; Wu, Y; Wang, ST; Duan, L; Brown, KR
Published in: New Journal of Physics
April 1, 2018

We explore the feasibility of implementing a small surface code with 9 data qubits and 8 ancilla qubits, commonly referred to as surface-17, using a linear chain of 171Yb+ ions. Two-qubit gates can be performed between any two ions in the chain with gate time increasing linearly with ion distance. Measurement of the ion state by fluorescence requires that the ancilla qubits be physically separated from the data qubits to avoid errors on the data due to scattered photons. We minimize the time required to measure one round of stabilizers by optimizing the mapping of the two-dimensional surface code to the linear chain of ions. We develop a physically motivated Pauli error model that allows for fast simulation and captures the key sources of noise in an ion trap quantum computer including gate imperfections and ion heating. Our simulations showed a consistent requirement of a two-qubit gate fidelity of ≥99.9% for the logical memory to have a better fidelity than physical two-qubit operations. Finally, we perform an analysis of the error subsets from the importance sampling method used to bound the logical error rates to gain insight into which error sources are particularly detrimental to error correction.

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Published In

New Journal of Physics

DOI

ISSN

1367-2630

Publication Date

April 1, 2018

Volume

20

Issue

4

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 02 Physical Sciences
 

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Trout, C. J., Li, M., Gutiérrez, M., Wu, Y., Wang, S. T., Duan, L., & Brown, K. R. (2018). Simulating the performance of a distance-3 surface code in a linear ion trap. New Journal of Physics, 20(4). https://doi.org/10.1088/1367-2630/aab341
Trout, C. J., M. Li, M. Gutiérrez, Y. Wu, S. T. Wang, L. Duan, and K. R. Brown. “Simulating the performance of a distance-3 surface code in a linear ion trap.” New Journal of Physics 20, no. 4 (April 1, 2018). https://doi.org/10.1088/1367-2630/aab341.
Trout CJ, Li M, Gutiérrez M, Wu Y, Wang ST, Duan L, et al. Simulating the performance of a distance-3 surface code in a linear ion trap. New Journal of Physics. 2018 Apr 1;20(4).
Trout, C. J., et al. “Simulating the performance of a distance-3 surface code in a linear ion trap.” New Journal of Physics, vol. 20, no. 4, Apr. 2018. Scopus, doi:10.1088/1367-2630/aab341.
Trout CJ, Li M, Gutiérrez M, Wu Y, Wang ST, Duan L, Brown KR. Simulating the performance of a distance-3 surface code in a linear ion trap. New Journal of Physics. 2018 Apr 1;20(4).
Journal cover image

Published In

New Journal of Physics

DOI

ISSN

1367-2630

Publication Date

April 1, 2018

Volume

20

Issue

4

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 02 Physical Sciences